What is the answer to (1/((t-2)))= t/8 ?

The answer to (1/((t-2)))= t/8 is t=4,t=-2

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(1/((t-2)))= t/8

(\frac{1}{( t - 2 )}) = \frac{t}{8}

t = 4, t = - 2

Solution steps

(\frac{1}{( t - 2 )}) = \frac{t}{8}

Cross multiply

8 = (t - 2) t

Solve

8 = (t - 2) t : t = 4, t = - 2

t = 4, t = - 2

Verify Solutions

Find undefined (singularity) points:

t = 2

Combine undefined points with solutions:

t = 4, t = - 2

\frac{4}{5} = \frac{x}{x - 2}

\frac{3}{a} = 42

\frac{x - 2}{x} = \frac{1}{2}

\frac{60}{r} = - 10

0 = 20 - 7260 x^{- 2}

What is the answer to (1/((t-2)))= t/8 ?
The answer to (1/((t-2)))= t/8 is t=4,t=-2
Solve for t: (1/((t-2)))= t/8
The solution is t=4,t=-2